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Which term describes a function in which the y-values form a geometric sequence?
A function in which the y-values form a geometric sequence is referred to as a geometric function. In such functions, each successive value is obtained by multiplying the previous value by a constant ratio. This characteristic means that for a given input, the output values follow a specific pattern defined by the geometric sequence.
What is a geometric rule for pattern?
Not sure about this question. But, a geometric sequence is a sequence of numbers such that the ratio of any two consecutive numbers is a constant, known as the "common ratio". A geometric sequence consists of a set of numbers of the form a, ar, ar2, ar3, ... arn, ... where r is the common ratio.
What are the numbers whose sum is 3 form an arithmetic sequence and their squares form geometric sequence?
The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214
Can a form be geometric?
That all depends on what you mean by "form". If you are referring to "shape", then yes it can be geometric. For instance, a triangle is geometric.
Are all geometric sequences Exponential?
Yes, all geometric sequences are a specific type of exponential sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, which can be expressed in the form ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term and ( r ) is the common ratio. This structure aligns with the definition of exponential functions, where the variable is in the exponent. However, not all exponential sequences are geometric, as they can have varying bases or growth rates.
Which term describes a function in which the values form a geometric sequence?
1
Which term describes a function in which the y-values form an arithmetic sequence?
linear function
What is a geometric rule for pattern?
Not sure about this question. But, a geometric sequence is a sequence of numbers such that the ratio of any two consecutive numbers is a constant, known as the "common ratio". A geometric sequence consists of a set of numbers of the form a, ar, ar2, ar3, ... arn, ... where r is the common ratio.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form 300,30,3?
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.
What is ment by exponential growth?
Growth whose rate becomes ever more rapid in proportion to the growing total number or sizeExponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value. Exponential decay occurs in the same way when the growth rate is negative. In the case of a discrete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression).
What are the numbers whose sum is 3 form an arithmetic sequence and their squares form geometric sequence?
The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214
How do you find the common ratio in a geometric sequence?
Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...
Is 2 10 50 250 1250 geometric?
This is a geometric sequence of the form a, ar, ar^2, ar^3, ... where a is the first term and r is the common ratio.In our case, the first term a = 2, and the common ratio r = 5.The nth term of such a sequence isan = a r^(n -1).
Can a form be geometric?
That all depends on what you mean by "form". If you are referring to "shape", then yes it can be geometric. For instance, a triangle is geometric.
How do you use Excel to calulate the 75th percentile?
You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)You use the Percentile function. You specify the range of values and then the percentile in a decimal form. Say your values were in the cell range from B2 to D50, then the formula would be:=PERCENTILE(B2:D50,0.75)
Are all geometric sequences Exponential?
Yes, all geometric sequences are a specific type of exponential sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, which can be expressed in the form ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term and ( r ) is the common ratio. This structure aligns with the definition of exponential functions, where the variable is in the exponent. However, not all exponential sequences are geometric, as they can have varying bases or growth rates.
Is there any values of m that would result in the graph not representing a function?
No. A linear relationship of the form y = mx + c is always a function for real (or complex) values of m.
